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The equicharacteristic case of some homological conjectures on local rings
Author:
Melvin Hochster
Journal:
Bull. Amer. Math. Soc. 80 (1974), 683-686
MSC (1970):
Primary 13D05; Secondary 13C10
MathSciNet review:
0342510
Full-text PDF
References |
Similar Articles |
Additional Information
-
M.
Artin, Algebraic approximation of structures over complete local
rings, Inst. Hautes Études Sci. Publ. Math. 36
(1969), 23–58. MR 0268188
(42 #3087)
-
Melvin
Hochster, Cohen-Macaulay modules, Conference on Commutative
Algebra (Univ. Kansas, Lawrence, Kan., 1972), Springer, Berlin, 1973,
pp. 120–152. Lecture Notes in Math., Vol. 311. MR 0340251
(49 #5006)
-
Melvin
Hochster, Constraints on systems of parameters, Ring theory
(Proc. Conf., Univ. Oklahoma, Norman, Okla., 1973) Dekker, New York.,
1974, pp. 121–161. Lecture Notes in Pure and Appl. Math., Vol.
7. MR
0330156 (48 #8494)
-
M.
Hochster, Grade-sensitive modules and perfect modules, Proc.
London Math. Soc. (3) 29 (1974), 55–76. MR 0374118
(51 #10318)
-
Melvin
Hochster, Associated graded rings derived from integrally closed
ideals and the local homological conjectures, Algebra Colloquium
(Rennes, 1980) Univ. Rennes, Rennes, 1980, pp. 1–27. MR 645209
(83h:13031)
-
C.
Peskine and L.
Szpiro, Dimension projective finie et cohomologie locale.
Applications à la démonstration de conjectures de M.
Auslander, H. Bass et A. Grothendieck, Inst. Hautes Études Sci.
Publ. Math. 42 (1973), 47–119 (French). MR 0374130
(51 #10330)
- [A] M. Artin, Algebraic approximation of structures over complete local rings, Inst. Hautes Etudes Sci. Publ. Math. No. 36 (1969), 23-58. MR 42 #3087. MR 268188
- [H1] M. Hochster, Cohen-Macaulay modules, Proc. Kansas Commutative Algebra Conference, Lecture Notes in Math., vol. 311, Springer-Verlag, Berlin and New York, 1973. MR 340251
- [H2] M. Hochster, Constraints on systems of parameters, Proc. Oklahoma Ring Theory Conference, Marcel Dekker, New York, 1974. MR 330156
- [H3] M. Hochster, Grade-sensitive modules and perfect modules, Proc. London Math. Soc. (to appear). MR 374118
- [H4] M. Hochster, Deep local rings, Preprint of preliminary version available in Aarhus University Preprint Series (in preparation). MR 645209
- [PS] C. Peskine and L. Szpiro, Dimension projective finie et cohomologie locale, Inst. Hautes Etudes Sci. Publ. Math. No. 42 (1973), 323-395. MR 374130
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1974-13548-2
PII:
S 0002-9904(1974)13548-2
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